Li, Qingtao; Du, Guangzhi Local and parallel finite element methods based on two-grid discretizations for a transient coupled Navier-Stokes/Darcy model. (English) Zbl 07568880 J. Sci. Comput. 92, No. 3, Paper No. 76, 35 p. (2022). MSC: 65Nxx 76Dxx 76Mxx PDF BibTeX XML Cite \textit{Q. Li} and \textit{G. Du}, J. Sci. Comput. 92, No. 3, Paper No. 76, 35 p. (2022; Zbl 07568880) Full Text: DOI OpenURL
Wang, Jiangshan; Meng, Lingxiong; Jia, Xiaofeng; Jia, Hongen Numerical analysis of a BDF2 modular grad-div stability method for the Stokes/Darcy equations. (English) Zbl 07567998 Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 5, 1981-2000 (2022). MSC: 58F15 58F17 53C35 PDF BibTeX XML Cite \textit{J. Wang} et al., Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 5, 1981--2000 (2022; Zbl 07567998) Full Text: DOI OpenURL
Spiridonov, Denis; Vasilyeva, Maria; Wang, Min; Chung, Eric T. Mixed Generalized Multiscale Finite Element Method for flow problem in thin domains. (English) Zbl 07567572 J. Comput. Appl. Math. 416, Article ID 114577, 17 p. (2022). MSC: 65Nxx 76Mxx 76Sxx PDF BibTeX XML Cite \textit{D. Spiridonov} et al., J. Comput. Appl. Math. 416, Article ID 114577, 17 p. (2022; Zbl 07567572) Full Text: DOI OpenURL
Rostami, A. K.; Hosseinzadeh, Kh.; Ganji, D. D. Hydrothermal analysis of ethylene glycol nanofluid in a porous enclosure with complex snowflake shaped inner wall. (English) Zbl 07563700 Waves Random Complex Media 32, No. 1, 1-18 (2022). MSC: 76S05 76R10 76T20 76W05 80A19 PDF BibTeX XML Cite \textit{A. K. Rostami} et al., Waves Random Complex Media 32, No. 1, 1--18 (2022; Zbl 07563700) Full Text: DOI OpenURL
Jepson, Jacob M.; Fadai, Nabil T.; O’Dea, Reuben D. Travelling-wave and asymptotic analysis of a multiphase moving boundary model for engineered tissue growth. (English) Zbl 07559978 Bull. Math. Biol. 84, No. 8, Paper No. 87, 19 p. (2022). MSC: 92-XX PDF BibTeX XML Cite \textit{J. M. Jepson} et al., Bull. Math. Biol. 84, No. 8, Paper No. 87, 19 p. (2022; Zbl 07559978) Full Text: DOI OpenURL
Nawaz, Yasir; Arif, Muhammad Shoaib; Ashraf, Muhammad Usman; Abodayeh, Kamaleldin A class of unconditionally stable shooting methods with application to radiative Darcy-Forchheimer flow. (English) Zbl 07547383 Int. J. Comput. Methods 19, No. 5, Article ID 2250008, 26 p. (2022). MSC: 65-XX 76-XX PDF BibTeX XML Cite \textit{Y. Nawaz} et al., Int. J. Comput. Methods 19, No. 5, Article ID 2250008, 26 p. (2022; Zbl 07547383) Full Text: DOI OpenURL
Capone, Florinda; Gianfrani, Jacopo A. Thermal convection for a Darcy-Brinkman rotating anisotropic porous layer in local thermal non-equilibrium. (English) Zbl 07545272 Ric. Mat. 71, No. 1, 227-243 (2022). MSC: 76E06 76E30 76R10 76S05 76U05 80A19 PDF BibTeX XML Cite \textit{F. Capone} and \textit{J. A. Gianfrani}, Ric. Mat. 71, No. 1, 227--243 (2022; Zbl 07545272) Full Text: DOI OpenURL
Alotaibi, Manal; Chen, Huangxin; Sun, Shuyu Generalized multiscale finite element methods for the reduced model of Darcy flow in fractured porous media. (English) Zbl 07542681 J. Comput. Appl. Math. 413, Article ID 114305, 19 p. (2022). MSC: 65N30 65N12 65N15 76S05 76M10 PDF BibTeX XML Cite \textit{M. Alotaibi} et al., J. Comput. Appl. Math. 413, Article ID 114305, 19 p. (2022; Zbl 07542681) Full Text: DOI OpenURL
Xiao, Boqi; Li, Yupeng; Long, Gongbo A fractal model of power-law fluid through charged fibrous porous media by using the fractional-derivative theory. (English) Zbl 07537388 Fractals 30, No. 3, Article ID 2250072, 12 p. (2022). MSC: 76S05 76W05 76A05 28A80 26A33 PDF BibTeX XML Cite \textit{B. Xiao} et al., Fractals 30, No. 3, Article ID 2250072, 12 p. (2022; Zbl 07537388) Full Text: DOI OpenURL
Correa, E. D.; Quirino, J. M.; Sobral, R. L.; Corrêa, J. F.; Gama, R. M. S. An analytical and a numerical method for nonlinear convection-radiation problems in porous fins. (English) Zbl 07532779 Adv. Math. Phys. 2022, Article ID 9033324, 12 p. (2022). MSC: 76S05 76R10 76M20 76M30 80A19 PDF BibTeX XML Cite \textit{E. D. Correa} et al., Adv. Math. Phys. 2022, Article ID 9033324, 12 p. (2022; Zbl 07532779) Full Text: DOI OpenURL
Chen, Long; Wang, Kai; Li, Baotong; Mao, Yicheng Shape optimization of fluid cooling channel based on Darcy reduced-order isogeometric analysis. (English) Zbl 07531711 J. Comput. Appl. Math. 411, Article ID 114262, 17 p. (2022). MSC: 76R05 76S05 80A19 PDF BibTeX XML Cite \textit{L. Chen} et al., J. Comput. Appl. Math. 411, Article ID 114262, 17 p. (2022; Zbl 07531711) Full Text: DOI OpenURL
Bonaldi, Francesco; Droniou, Jérôme; Masson, Roland; Pasteau, Antoine Energy-stable discretization of two-phase flows in deformable porous media with frictional contact at matrix-fracture interfaces. (English) Zbl 07518076 J. Comput. Phys. 455, Article ID 110984, 28 p. (2022). MSC: 65Nxx 76Sxx 76Mxx PDF BibTeX XML Cite \textit{F. Bonaldi} et al., J. Comput. Phys. 455, Article ID 110984, 28 p. (2022; Zbl 07518076) Full Text: DOI OpenURL
Gao, Yali; Han, Daozhi; He, Xiaoming; Rüde, Ulrich Unconditionally stable numerical methods for Cahn-Hilliard-Navier-Stokes-Darcy system with different densities and viscosities. (English) Zbl 07518057 J. Comput. Phys. 454, Article ID 110968, 23 p. (2022). MSC: 65Mxx 76Mxx 65Nxx PDF BibTeX XML Cite \textit{Y. Gao} et al., J. Comput. Phys. 454, Article ID 110968, 23 p. (2022; Zbl 07518057) Full Text: DOI OpenURL
Afshar, Sepideh; Hu, Weiwei Permeability estimation of a porous structure in cancer treatment based on sampled velocity measurement. (English) Zbl 1487.35371 Inverse Probl. 38, No. 6, Article ID 065002, 39 p. (2022). MSC: 35Q92 76S05 76D05 92C37 92C50 49M41 93B30 35R30 PDF BibTeX XML Cite \textit{S. Afshar} and \textit{W. Hu}, Inverse Probl. 38, No. 6, Article ID 065002, 39 p. (2022; Zbl 1487.35371) Full Text: DOI OpenURL
Li, Qingtao; Du, Guangzhi Local and parallel finite element methods based on two-grid discretizations for a non-stationary coupled Stokes-Darcy model. (English) Zbl 07504653 Comput. Math. Appl. 113, 254-269 (2022). MSC: 65-XX 76-XX PDF BibTeX XML Cite \textit{Q. Li} and \textit{G. Du}, Comput. Math. Appl. 113, 254--269 (2022; Zbl 07504653) Full Text: DOI OpenURL
Hou, Yanren; Xue, Dandan Numerical analysis of two-grid decoupling finite element scheme for Navier-Stokes/Darcy model. (English) Zbl 07504637 Comput. Math. Appl. 113, 45-51 (2022). MSC: 76-XX 65-XX PDF BibTeX XML Cite \textit{Y. Hou} and \textit{D. Xue}, Comput. Math. Appl. 113, 45--51 (2022; Zbl 07504637) Full Text: DOI OpenURL
Zhang, Nangao; Zhu, Changjiang Convergence to nonlinear diffusion waves for solutions of \(M_1\) model. (English) Zbl 1487.85025 J. Differ. Equations 320, 1-48 (2022). MSC: 85A25 35L65 35B40 82B24 35J05 35P15 35P30 26B20 PDF BibTeX XML Cite \textit{N. Zhang} and \textit{C. Zhu}, J. Differ. Equations 320, 1--48 (2022; Zbl 1487.85025) Full Text: DOI OpenURL
Tian, Lulu; Guo, Hui; Jia, Rui; Yang, Yang Stability analysis and error estimates of fully-discrete local discontinuous Galerkin methods for simulating wormhole propagation with Darcy-Forchheimer model. (English) Zbl 07489831 J. Comput. Appl. Math. 409, Article ID 114158, 25 p. (2022). MSC: 65M60 65M12 65M15 76Nxx 76S05 PDF BibTeX XML Cite \textit{L. Tian} et al., J. Comput. Appl. Math. 409, Article ID 114158, 25 p. (2022; Zbl 07489831) Full Text: DOI OpenURL
Ngondiep, Eric Unconditional stability over long time intervals of a two-level coupled MacCormack/Crank-Nicolson method for evolutionary mixed Stokes-Darcy model. (English) Zbl 07489827 J. Comput. Appl. Math. 409, Article ID 114148, 16 p. (2022). MSC: 76M10 76S05 76D07 65N30 76D05 PDF BibTeX XML Cite \textit{E. Ngondiep}, J. Comput. Appl. Math. 409, Article ID 114148, 16 p. (2022; Zbl 07489827) Full Text: DOI OpenURL
Chen, Shuangshuang; Huang, Qiumei; Xu, Fei A two-grid decoupled algorithm for a multi-dimensional Darcy-Brinkman fracture model. (English) Zbl 07488701 J. Sci. Comput. 90, No. 3, Paper No. 88, 20 p. (2022). MSC: 65N55 65N30 65N15 76S05 76M10 35Q35 PDF BibTeX XML Cite \textit{S. Chen} et al., J. Sci. Comput. 90, No. 3, Paper No. 88, 20 p. (2022; Zbl 07488701) Full Text: DOI OpenURL
Knopf, Patrik; Signori, Andrea Existence of weak solutions to multiphase Cahn-Hilliard-Darcy and Cahn-Hilliard-Brinkman models for stratified tumor growth with chemotaxis and general source terms. (English) Zbl 1484.35148 Commun. Partial Differ. Equations 47, No. 2, 233-278 (2022). MSC: 35D30 35K35 35K86 76D07 92C17 92C50 PDF BibTeX XML Cite \textit{P. Knopf} and \textit{A. Signori}, Commun. Partial Differ. Equations 47, No. 2, 233--278 (2022; Zbl 1484.35148) Full Text: DOI arXiv OpenURL
Tayebi, Tahar; Chamkha, Ali J.; Öztop, Hakan F.; Bouzeroura, Lynda Local thermal non-equilibrium (LTNE) effects on thermal-free convection in a nanofluid-saturated horizontal elliptical non-Darcian porous annulus. (English) Zbl 07478789 Math. Comput. Simul. 194, 124-140 (2022). MSC: 76-XX 80-XX PDF BibTeX XML Cite \textit{T. Tayebi} et al., Math. Comput. Simul. 194, 124--140 (2022; Zbl 07478789) Full Text: DOI OpenURL
Yang, Zhipeng; Ming, Ju; Qiu, Changxin; Li, Maojun; He, Xiaoming A multigrid multilevel Monte Carlo method for Stokes-Darcy model with random hydraulic conductivity and Beavers-Joseph condition. (English) Zbl 07458294 J. Sci. Comput. 90, No. 2, Paper No. 68, 30 p. (2022). MSC: 65-XX 35R60 65C05 65M60 76S05 PDF BibTeX XML Cite \textit{Z. Yang} et al., J. Sci. Comput. 90, No. 2, Paper No. 68, 30 p. (2022; Zbl 07458294) Full Text: DOI arXiv OpenURL
Du, Guangzhi; Zuo, Liyun; Zhang, Yuhong A new local and parallel finite element method for the coupled Stokes-Darcy model. (English) Zbl 07454825 J. Sci. Comput. 90, No. 1, Paper No. 43, 21 p. (2022). MSC: 65-XX 35M30 65N12 65N30 76D05 76S05 PDF BibTeX XML Cite \textit{G. Du} et al., J. Sci. Comput. 90, No. 1, Paper No. 43, 21 p. (2022; Zbl 07454825) Full Text: DOI OpenURL
Alam, P.; Kapoor, S. Solution of system of PDE governed in natural convective flow in a rectangular porous cavity. (English) Zbl 1480.76111 Goyal, Nupur (ed.) et al., Differential equations in engineering. Research and applications. Boca Raton, FL: CRC Press. Math. Eng. Manuf. Manag. Sci., 187-205 (2022). MSC: 76R10 76S05 80A19 PDF BibTeX XML Cite \textit{P. Alam} and \textit{S. Kapoor}, in: Differential equations in engineering. Research and applications. Boca Raton, FL: CRC Press. 187--205 (2022; Zbl 1480.76111) Full Text: DOI OpenURL
Jia, Xiaofeng; Feng, Hui Decoupled stabilized Crank-Nicolson leapfrog method for time-dependent Navier-Stokes/Darcy model. (English) Zbl 1480.35310 J. Comput. Appl. Math. 402, Article ID 113793, 19 p. (2022). Reviewer: Vladimir Mityushev (Kraków) MSC: 35Q30 76S05 76D05 76M10 65M60 65M06 65N30 65M15 PDF BibTeX XML Cite \textit{X. Jia} and \textit{H. Feng}, J. Comput. Appl. Math. 402, Article ID 113793, 19 p. (2022; Zbl 1480.35310) Full Text: DOI OpenURL
Li, Yakun; Yu, Wenkai; Zhao, Jia; Wang, Qi Second order linear decoupled energy dissipation rate preserving schemes for the Cahn-Hilliard-extended-Darcy model. (English) Zbl 07515453 J. Comput. Phys. 444, Article ID 110561, 28 p. (2021). MSC: 65Mxx 76Mxx 35Qxx PDF BibTeX XML Cite \textit{Y. Li} et al., J. Comput. Phys. 444, Article ID 110561, 28 p. (2021; Zbl 07515453) Full Text: DOI OpenURL
Di Gregorio, Simone; Fedele, Marco; Pontone, Gianluca; Corno, Antonio F.; Zunino, Paolo; Vergara, Christian; Quarteroni, Alfio A computational model applied to myocardial perfusion in the human heart: from large coronaries to microvasculature. (English) Zbl 07508444 J. Comput. Phys. 424, Article ID 109836, 24 p. (2021). MSC: 92-XX 74-XX PDF BibTeX XML Cite \textit{S. Di Gregorio} et al., J. Comput. Phys. 424, Article ID 109836, 24 p. (2021; Zbl 07508444) Full Text: DOI OpenURL
Renu, Km.; Kumar, Ashok; Negi, Anup Singh Chebyshev spectral collocation method for magneto micro-polar convective flow through vertical porous pipe using local thermal non-equilibrium approach. (English) Zbl 07490128 Int. J. Appl. Comput. Math. 7, No. 3, Paper No. 117, 21 p. (2021). MSC: 76W05 76S05 76A05 76R10 76R05 76M22 80A19 PDF BibTeX XML Cite \textit{Km. Renu} et al., Int. J. Appl. Comput. Math. 7, No. 3, Paper No. 117, 21 p. (2021; Zbl 07490128) Full Text: DOI OpenURL
Narayana, Mahesha; Siddheshwar, P. G.; Ashoka, S. B. Computer-assisted successive linearization solution of the Darcy-Forchheimer-Brinkman flow through a rectangular channel. (English) Zbl 1483.76043 Mahanthesh, B. (ed.), Mathematical fluid mechanics. Advances in convective instabilities and incompressible fluid flow. Berlin: De Gruyter. De Gruyter Ser. Appl. Math. Eng. Inf. Sci. 7, 121-141 (2021). MSC: 76M22 76S05 PDF BibTeX XML Cite \textit{M. Narayana} et al., De Gruyter Ser. Appl. Math. Eng. Inf. Sci. 7, 121--141 (2021; Zbl 1483.76043) Full Text: DOI OpenURL
Usman, Auwalu Hamisu; Khan, Noor Saeed; Rano, Sadiya Ali; Maitama, Murtala; Humphries, Usa Wannasingha Study of heat and mass transfer in MHD flow of Sutterby nanofluid over a curved stretching sheet with magnetic dipole and effect. (English) Zbl 07475083 Thai J. Math. 19, No. 3, 1037-1055 (2021). MSC: 76W05 76A20 76S05 76V05 76Z10 76M99 80A19 PDF BibTeX XML Cite \textit{A. H. Usman} et al., Thai J. Math. 19, No. 3, 1037--1055 (2021; Zbl 07475083) Full Text: Link OpenURL
Zhao, Jiyuan; Liu, Weitao; Shen, Jianjun; Xu, Minghan; Sasmito, Agus P. Fractal treelike fracture network model for hydraulically and mechanically induced dynamic changes in the non-Darcy coefficient during the process of mine water inrush from collapsed columns. (English) Zbl 1482.74156 Fractals 29, No. 7, Article ID 2150218, 23 p. (2021). MSC: 74R99 74F10 74L10 74S05 76S05 28A80 PDF BibTeX XML Cite \textit{J. Zhao} et al., Fractals 29, No. 7, Article ID 2150218, 23 p. (2021; Zbl 1482.74156) Full Text: DOI OpenURL
Bashaga, G.; Shaw, S. Shear-augmented solute dispersion during drug delivery for three-layer flow through microvessel under stress jump and momentum slip-Darcy model. (English) Zbl 1479.76122 AMM, Appl. Math. Mech., Engl. Ed. 42, No. 6, 901-914 (2021). MSC: 76Z05 76A05 76S05 92C35 PDF BibTeX XML Cite \textit{G. Bashaga} and \textit{S. Shaw}, AMM, Appl. Math. Mech., Engl. Ed. 42, No. 6, 901--914 (2021; Zbl 1479.76122) Full Text: DOI OpenURL
Reddy, M. G.; Shehzad, S. A. Molybdenum disulfide and magnesium oxide nanoparticle performance on micropolar Cattaneo-Christov heat flux model. (English) Zbl 1480.76138 AMM, Appl. Math. Mech., Engl. Ed. 42, No. 4, 541-552 (2021). MSC: 76T20 76S05 76M20 80A19 PDF BibTeX XML Cite \textit{M. G. Reddy} and \textit{S. A. Shehzad}, AMM, Appl. Math. Mech., Engl. Ed. 42, No. 4, 541--552 (2021; Zbl 1480.76138) Full Text: DOI OpenURL
Chu, Yuming; Khan, M. I.; Rehman, M. I. U.; Kadry, S.; Qayyum, S.; Waqas, M. Stability analysis and modeling for the three-dimensional Darcy-Forchheimer stagnation point nanofluid flow towards a moving surface. (English) Zbl 1479.76044 AMM, Appl. Math. Mech., Engl. Ed. 42, No. 3, 357-370 (2021). MSC: 76E99 76S05 76T20 76M99 80A19 80A21 PDF BibTeX XML Cite \textit{Y. Chu} et al., AMM, Appl. Math. Mech., Engl. Ed. 42, No. 3, 357--370 (2021; Zbl 1479.76044) Full Text: DOI OpenURL
Thompson, Alice B. Bifurcations of drops and bubbles propagating in variable-depth Hele-Shaw channels. (English) Zbl 1487.76093 J. Eng. Math. 129, Paper No. 12, 17 p. (2021). MSC: 76T10 76D27 76D07 76M10 PDF BibTeX XML Cite \textit{A. B. Thompson}, J. Eng. Math. 129, Paper No. 12, 17 p. (2021; Zbl 1487.76093) Full Text: DOI OpenURL
Fong, D.; Cummings, L. J.; Chapman, S. J.; Sanaei, P. On the performance of multilayered membrane filters. (English) Zbl 1487.76087 J. Eng. Math. 127, Paper No. 23, 25 p. (2021). MSC: 76S05 76-10 PDF BibTeX XML Cite \textit{D. Fong} et al., J. Eng. Math. 127, Paper No. 23, 25 p. (2021; Zbl 1487.76087) Full Text: DOI OpenURL
Dehghani, Hamidreza; Zilian, Andreas ANN-aided incremental multiscale-remodelling-based finite strain poroelasticity. (English) Zbl 1480.74063 Comput. Mech. 68, No. 1, 131-154 (2021). MSC: 74F10 74B20 74L15 74S99 92C10 92B20 PDF BibTeX XML Cite \textit{H. Dehghani} and \textit{A. Zilian}, Comput. Mech. 68, No. 1, 131--154 (2021; Zbl 1480.74063) Full Text: DOI arXiv OpenURL
Yu, Wenkai; Li, Yakun; Zhao, Jia; Wang, Qi Second order linear thermodynamically consistent approximations to nonlocal phase field porous media models. (English) Zbl 07427330 Comput. Methods Appl. Mech. Eng. 386, Article ID 114089, 33 p. (2021). MSC: 76-XX 35-XX PDF BibTeX XML Cite \textit{W. Yu} et al., Comput. Methods Appl. Mech. Eng. 386, Article ID 114089, 33 p. (2021; Zbl 07427330) Full Text: DOI OpenURL
Bonaldi, Francesco; Brenner, Konstantin; Droniou, Jérôme; Masson, Roland; Pasteau, Antoine; Trenty, Laurent Gradient discretization of two-phase poro-mechanical models with discontinuous pressures at matrix fracture interfaces. (English) Zbl 1482.65180 ESAIM, Math. Model. Numer. Anal. 55, No. 5, 1741-1777 (2021). Reviewer: Abdallah Bradji (Annaba) MSC: 65M60 65M08 65H10 65F10 65M12 35D30 76S05 74B10 74L10 76M12 74S05 PDF BibTeX XML Cite \textit{F. Bonaldi} et al., ESAIM, Math. Model. Numer. Anal. 55, No. 5, 1741--1777 (2021; Zbl 1482.65180) Full Text: DOI arXiv OpenURL
Xue, Dandan; Hou, Yanren A second-order decoupled algorithm with different subdomain time steps for the non-stationary Stokes/Darcy model. (English) Zbl 07411101 Numer. Algorithms 88, No. 3, 1137-1182 (2021). MSC: 65M60 65M12 76S05 PDF BibTeX XML Cite \textit{D. Xue} and \textit{Y. Hou}, Numer. Algorithms 88, No. 3, 1137--1182 (2021; Zbl 07411101) Full Text: DOI OpenURL
Qohar, Ulin Nuha Abdul; Munthe-Kaas, Antonella Zanna; Nordbotten, Jan Martin; Hanson, Erik Andreas A multi-scale flow model for studying blood circulation in vascular system. (English) Zbl 1475.92064 Vermolen, Fred J. (ed.) et al., Numerical mathematics and advanced applications. ENUMATH 2019. Proceedings of the European conference, Egmond aan Zee, The Netherlands, September 30 – October 4, 2019. Cham: Springer. Lect. Notes Comput. Sci. Eng. 139, 743-751 (2021). MSC: 92C35 76Z05 PDF BibTeX XML Cite \textit{U. N. A. Qohar} et al., Lect. Notes Comput. Sci. Eng. 139, 743--751 (2021; Zbl 1475.92064) Full Text: DOI OpenURL
Lunowa, Stephan B.; Bringedal, Carina; Pop, Iuliu Sorin On an averaged model for immiscible two-phase flow with surface tension and dynamic contact angle in a thin strip. (English) Zbl 1471.76076 Stud. Appl. Math. 147, No. 1, 84-126 (2021). MSC: 76T10 76S05 76M45 PDF BibTeX XML Cite \textit{S. B. Lunowa} et al., Stud. Appl. Math. 147, No. 1, 84--126 (2021; Zbl 1471.76076) Full Text: DOI OpenURL
Capone, F.; Gentile, M.; Massa, G. The onset of thermal convection in anisotropic and rotating bidisperse porous media. (English) Zbl 1471.76030 Z. Angew. Math. Phys. 72, No. 4, Paper No. 169, 16 p. (2021). MSC: 76E06 76E07 76E30 76S05 PDF BibTeX XML Cite \textit{F. Capone} et al., Z. Angew. Math. Phys. 72, No. 4, Paper No. 169, 16 p. (2021; Zbl 1471.76030) Full Text: DOI OpenURL
Han, Daozhi; He, Xiaoming; Wang, Quan; Wu, Yanyun Existence and weak-strong uniqueness of solutions to the Cahn-Hilliard-Navier-Stokes-Darcy system in superposed free flow and porous media. (English) Zbl 1475.35279 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 211, Article ID 112411, 27 p. (2021). MSC: 35Q35 35K61 76T30 76S05 76D05 35A01 35A02 35D30 35D35 PDF BibTeX XML Cite \textit{D. Han} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 211, Article ID 112411, 27 p. (2021; Zbl 1475.35279) Full Text: DOI OpenURL
Du, Guangzhi; Zuo, Liyun Local and parallel finite element methods for the coupled Stokes/Darcy model. (English) Zbl 1486.65247 Numer. Algorithms 87, No. 4, 1593-1611 (2021). MSC: 65N30 65N55 65N50 65N12 65N15 65Y05 35M30 76D05 76S05 PDF BibTeX XML Cite \textit{G. Du} and \textit{L. Zuo}, Numer. Algorithms 87, No. 4, 1593--1611 (2021; Zbl 1486.65247) Full Text: DOI OpenURL
Le Reun, Thomas; Hewitt, Duncan R. High-Rayleigh-number convection in porous-fluid layers. (English) Zbl 07367988 J. Fluid Mech. 920, Paper No. A35, 26 p. (2021). MSC: 76R10 76S05 76F35 80A19 PDF BibTeX XML Cite \textit{T. Le Reun} and \textit{D. R. Hewitt}, J. Fluid Mech. 920, Paper No. A35, 26 p. (2021; Zbl 07367988) Full Text: DOI arXiv OpenURL
Paranamana, Pushpi; Aulisa, Eugenio; Toda, Magdalena Geometric model of the fracture as a manifold immersed in porous media. (English) Zbl 1486.76080 J. Math. Phys. 62, No. 5, 051508, 25 p. (2021). MSC: 76S05 76N15 74R99 PDF BibTeX XML Cite \textit{P. Paranamana} et al., J. Math. Phys. 62, No. 5, 051508, 25 p. (2021; Zbl 1486.76080) Full Text: DOI arXiv OpenURL
Coatléven, J.; Meiller, C. On an efficient time scheme based on a new mathematical representation of thermodynamic equilibrium for multiphase compositional Darcy flows in porous media. (English) Zbl 1460.86002 Comput. Geosci. 25, No. 3, 1063-1082 (2021). MSC: 86-08 86A04 76S05 PDF BibTeX XML Cite \textit{J. Coatléven} and \textit{C. Meiller}, Comput. Geosci. 25, No. 3, 1063--1082 (2021; Zbl 1460.86002) Full Text: DOI OpenURL
Wang, Xinhui; Du, Guangzhi; Zuo, Liyun A novel local and parallel finite element method for the mixed Navier-Stokes-Darcy problem. (English) Zbl 07336200 Comput. Math. Appl. 90, 73-79 (2021). MSC: 65-XX 74-XX PDF BibTeX XML Cite \textit{X. Wang} et al., Comput. Math. Appl. 90, 73--79 (2021; Zbl 07336200) Full Text: DOI OpenURL
Ye, Zuyang; Fan, Qingli; Huang, Shibing; Cheng, Aiping A one-dimensional line element model for transient free surface flow in porous media. (English) Zbl 1465.76098 Appl. Math. Comput. 392, Article ID 125747, 16 p. (2021). MSC: 76S05 76M10 PDF BibTeX XML Cite \textit{Z. Ye} et al., Appl. Math. Comput. 392, Article ID 125747, 16 p. (2021; Zbl 1465.76098) Full Text: DOI OpenURL
He, Zhengkang; Chung, Eric T.; Chen, Jie; Chen, Zhangxin Generalized multiscale approximation of a multipoint flux mixed finite element method for Darcy-Forchheimer model. (English) Zbl 1459.65222 J. Comput. Appl. Math. 391, Article ID 113466, 20 p. (2021). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65D30 76M10 65H10 76S05 PDF BibTeX XML Cite \textit{Z. He} et al., J. Comput. Appl. Math. 391, Article ID 113466, 20 p. (2021; Zbl 1459.65222) Full Text: DOI arXiv OpenURL
Amin, Fahs; Zakeri, Ali; Wanko, Adrien Time-dependent solution for natural convection in a porous enclosure using the Darcy-Lapwood-Brinkman model. (English) Zbl 07318244 Math. Comput. Simul. 182, 39-65 (2021). MSC: 35Qxx 65Nxx 76Mxx 35Kxx 35Bxx PDF BibTeX XML Cite \textit{F. Amin} et al., Math. Comput. Simul. 182, 39--65 (2021; Zbl 07318244) Full Text: DOI OpenURL
Jiang, Nan; Li, Ying; Yang, Huanhuan An artificial compressibility Crank-Nicolson leap-frog method for the Stokes-Darcy model and application in ensemble simulations. (English) Zbl 1467.65084 SIAM J. Numer. Anal. 59, No. 1, 401-428 (2021). Reviewer: Marius Ghergu (Dublin) MSC: 65M06 65M12 76S05 65C30 76N06 35Q35 PDF BibTeX XML Cite \textit{N. Jiang} et al., SIAM J. Numer. Anal. 59, No. 1, 401--428 (2021; Zbl 1467.65084) Full Text: DOI OpenURL
Li, Wei; Fang, Jilin; Qin, Yi; Huang, Pengzhan Rotational pressure-correction method for the Stokes/Darcy model based on the modular grad-div stabilization. (English) Zbl 1458.35340 Appl. Numer. Math. 160, 451-465 (2021). MSC: 35Q35 76S05 76D07 76E07 65M60 65M06 65N30 PDF BibTeX XML Cite \textit{W. Li} et al., Appl. Numer. Math. 160, 451--465 (2021; Zbl 1458.35340) Full Text: DOI OpenURL
Cao, Luling; He, Yinnian; Li, Jian; Yang, Di Decoupled modified characteristic FEMs for fully evolutionary Navier-Stokes-Darcy model with the Beavers-Joseph interface condition. (English) Zbl 1452.65227 J. Comput. Appl. Math. 383, Article ID 113128, 19 p. (2021). MSC: 65M60 65M25 65M15 65M12 76S05 76D05 35Q30 PDF BibTeX XML Cite \textit{L. Cao} et al., J. Comput. Appl. Math. 383, Article ID 113128, 19 p. (2021; Zbl 1452.65227) Full Text: DOI OpenURL
Sheikholeslami, M.; Sheremet, Mikhail A.; Shafee, Ahmad; Tlili, Iskander Simulation of nanoliquid thermogravitational convection within a porous chamber imposing magnetic and radiation impacts. (English) Zbl 07526339 Physica A 550, Article ID 124058, 10 p. (2020). MSC: 82-XX PDF BibTeX XML Cite \textit{M. Sheikholeslami} et al., Physica A 550, Article ID 124058, 10 p. (2020; Zbl 07526339) Full Text: DOI OpenURL
Prakash, Jyoti; Singh, Virender; Kumari, Chitresh; Chand, Khem On arresting the complex growth rate of a perturbation in ferrothermosolutal convection in a porous medium: Darcy model. (English) Zbl 07525570 J. Rajasthan Acad. Phys. Sci. 19, No. 3-4, 153-166 (2020). MSC: 76-XX 82-XX PDF BibTeX XML Cite \textit{J. Prakash} et al., J. Rajasthan Acad. Phys. Sci. 19, No. 3--4, 153--166 (2020; Zbl 07525570) Full Text: Link OpenURL
Wei, Qing; Zhou, Hongwei; Yang, Shuai Non-Darcy flow models in porous media via Atangana-Baleanu derivative. (English) Zbl 07511232 Chaos Solitons Fractals 141, Article ID 110335, 9 p. (2020). MSC: 76-XX 80-XX PDF BibTeX XML Cite \textit{Q. Wei} et al., Chaos Solitons Fractals 141, Article ID 110335, 9 p. (2020; Zbl 07511232) Full Text: DOI OpenURL
Prakash, Jyoti; Ram, Kaka; Chand, Khem On the characterization of triply diffusive convection in a sparsely distributed porous medium. (English) Zbl 07504580 J. Rajasthan Acad. Phys. Sci. 19, No. 1-2, 109-118 (2020). MSC: 76S05 76R99 PDF BibTeX XML Cite \textit{J. Prakash} et al., J. Rajasthan Acad. Phys. Sci. 19, No. 1--2, 109--118 (2020; Zbl 07504580) Full Text: Link OpenURL
Reuter, Balthasar; Rupp, Andreas; Aizinger, Vadym; Frank, Florian; Knabner, Peter FESTUNG: a MATLAB/GNU Octave toolbox for the discontinuous Galerkin method. IV: Generic problem framework and model-coupling interface. (English) Zbl 07419117 Commun. Comput. Phys. 28, No. 2, 827-876 (2020). MSC: 65-XX 35L20 65M60 68N30 76B07 76S05 97P30 PDF BibTeX XML Cite \textit{B. Reuter} et al., Commun. Comput. Phys. 28, No. 2, 827--876 (2020; Zbl 07419117) Full Text: DOI arXiv OpenURL
Capone, F.; De Luca, R.; Gentile, M. Coriolis effect on thermal convection in a rotating bidispersive porous layer. (English) Zbl 1472.76090 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2235, Article ID 20190875, 8 p. (2020). MSC: 76S05 76E30 80A19 PDF BibTeX XML Cite \textit{F. Capone} et al., Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2235, Article ID 20190875, 8 p. (2020; Zbl 1472.76090) Full Text: DOI OpenURL
Pažanin, Igor; Radulović, Marko Effects of the viscous dissipation on the Darcy-Brinkman flow: rigorous derivation of the higher-order asymptotic model. (English) Zbl 07323495 Appl. Math. Comput. 386, Article ID 125479, 11 p. (2020). MSC: 00-XX PDF BibTeX XML Cite \textit{I. Pažanin} and \textit{M. Radulović}, Appl. Math. Comput. 386, Article ID 125479, 11 p. (2020; Zbl 07323495) Full Text: DOI OpenURL
Radha, R.; Padmavati, B. Sri Stokes flow past porous bodies of arbitrary shape. (English) Zbl 1453.76042 Indian J. Pure Appl. Math. 51, No. 3, 1247-1263 (2020). MSC: 76D07 76S05 PDF BibTeX XML Cite \textit{R. Radha} and \textit{B. S. Padmavati}, Indian J. Pure Appl. Math. 51, No. 3, 1247--1263 (2020; Zbl 1453.76042) Full Text: DOI OpenURL
Bublik, S. A.; Semin, M. A. Study on the formation of Saffman-Taylor instability in oil reservoir in two-dimensional formulation. (Russian. English summary) Zbl 1452.76069 Mat. Model. 32, No. 7, 127-142 (2020). MSC: 76E17 76S05 76T30 76M12 86A05 PDF BibTeX XML Cite \textit{S. A. Bublik} and \textit{M. A. Semin}, Mat. Model. 32, No. 7, 127--142 (2020; Zbl 1452.76069) Full Text: DOI MNR OpenURL
Zhang, Tao; Li, Xiaolin Variational multiscale interpolating element-free Galerkin method for the nonlinear Darcy-Forchheimer model. (English) Zbl 1443.65382 Comput. Math. Appl. 79, No. 2, 363-377 (2020). MSC: 65N30 PDF BibTeX XML Cite \textit{T. Zhang} and \textit{X. Li}, Comput. Math. Appl. 79, No. 2, 363--377 (2020; Zbl 1443.65382) Full Text: DOI OpenURL
Wang, Jiangshan; Meng, Lingxiong; Jia, Hongen Numerical analysis of modular grad-div stability methods for the time-dependent Navier-Stokes/Darcy model. (English) Zbl 1452.65180 Electron Res. Arch. 28, No. 3, 1191-1205 (2020). MSC: 65M06 65N30 65M15 65M12 35K20 35K35 76S05 76D05 76M20 35Q35 PDF BibTeX XML Cite \textit{J. Wang} et al., Electron Res. Arch. 28, No. 3, 1191--1205 (2020; Zbl 1452.65180) Full Text: DOI OpenURL
Fang, Jilin; Huang, Pengzhan; Qin, Yi A two-level finite element method for the steady-state Navier-Stokes/Darcy model. (English) Zbl 1446.65168 J. Korean Math. Soc. 57, No. 4, 915-933 (2020). MSC: 65N30 65N12 65N55 65H10 76S05 76D05 35Q35 PDF BibTeX XML Cite \textit{J. Fang} et al., J. Korean Math. Soc. 57, No. 4, 915--933 (2020; Zbl 1446.65168) Full Text: DOI OpenURL
Jordan, P. M. Poroacoustic solitary waves under the unidirectional Darcy-Jordan model. (English) Zbl 07222286 Wave Motion 94, Article ID 102498, 16 p. (2020). MSC: 35-XX 76-XX PDF BibTeX XML Cite \textit{P. M. Jordan}, Wave Motion 94, Article ID 102498, 16 p. (2020; Zbl 07222286) Full Text: DOI OpenURL
Wood, Brian D.; He, Xiaoliang; Apte, Sourabh V. Modeling turbulent flows in porous media. (English) Zbl 1439.76162 Davis, Stephen H. (ed.) et al., Annual review of fluid mechanics. Vol. 52. Palo Alto, CA: Annual Reviews. Annu. Rev. Fluid Mech. 52, 171-203 (2020). MSC: 76S05 76F65 76-02 PDF BibTeX XML Cite \textit{B. D. Wood} et al., Annu. Rev. Fluid Mech. 52, 171--203 (2020; Zbl 1439.76162) Full Text: DOI OpenURL
Qiu, Changxin; He, Xiaoming; Li, Jian; Lin, Yanping A domain decomposition method for the time-dependent Navier-Stokes-Darcy model with Beavers-Joseph interface condition and defective boundary condition. (English) Zbl 1436.65135 J. Comput. Phys. 411, Article ID 109400, 24 p. (2020). MSC: 65M55 76S05 76D05 76M10 PDF BibTeX XML Cite \textit{C. Qiu} et al., J. Comput. Phys. 411, Article ID 109400, 24 p. (2020; Zbl 1436.65135) Full Text: DOI OpenURL
Lu, Min-Jhe; Liu, Chun; Lowengrub, John; Li, Shuwang Complex far-field geometries determine the stability of solid tumor growth with chemotaxis. (English) Zbl 1439.92044 Bull. Math. Biol. 82, No. 3, Paper No. 39, 41 p. (2020). MSC: 92C17 92C32 35Q92 PDF BibTeX XML Cite \textit{M.-J. Lu} et al., Bull. Math. Biol. 82, No. 3, Paper No. 39, 41 p. (2020; Zbl 1439.92044) Full Text: DOI arXiv OpenURL
Koleva, Miglena N.; Vulkov, Lubin G. Numerical analysis of one dimensional motion of magma without mass forces. (English) Zbl 07126156 J. Comput. Appl. Math. 366, Article ID 112338, 19 p. (2020). MSC: 86-08 65M06 76S05 86A60 PDF BibTeX XML Cite \textit{M. N. Koleva} and \textit{L. G. Vulkov}, J. Comput. Appl. Math. 366, Article ID 112338, 19 p. (2020; Zbl 07126156) Full Text: DOI OpenURL
Rohan, Eduard; Turjanicová, Jana; Lukeš, Vladimír The Biot-Darcy-Brinkman model of flow in deformable double porous media; homogenization and numerical modelling. (English) Zbl 1443.76220 Comput. Math. Appl. 78, No. 9, 3044-3066 (2019). MSC: 76S05 PDF BibTeX XML Cite \textit{E. Rohan} et al., Comput. Math. Appl. 78, No. 9, 3044--3066 (2019; Zbl 1443.76220) Full Text: DOI arXiv OpenURL
Reuter, Balthasar; Rupp, Andreas; Aizinger, Vadym; Knabner, Peter Discontinuous Galerkin method for coupling hydrostatic free surface flows to saturated subsurface systems. (English) Zbl 1442.65273 Comput. Math. Appl. 77, No. 9, 2291-2309 (2019). MSC: 65M60 65M12 76S05 PDF BibTeX XML Cite \textit{B. Reuter} et al., Comput. Math. Appl. 77, No. 9, 2291--2309 (2019; Zbl 1442.65273) Full Text: DOI arXiv OpenURL
Hou, Yanren; Qin, Yi On the solution of coupled Stokes/Darcy model with Beavers-Joseph interface condition. (English) Zbl 1442.65373 Comput. Math. Appl. 77, No. 1, 50-65 (2019). MSC: 65N30 65N15 76S05 PDF BibTeX XML Cite \textit{Y. Hou} and \textit{Y. Qin}, Comput. Math. Appl. 77, No. 1, 50--65 (2019; Zbl 1442.65373) Full Text: DOI OpenURL
Siddheshwar, P. G.; Lakshmi, K. M. Natural convection of Newtonian liquids and nanoliquids confined in low-porosity enclosures. (English) Zbl 1460.76736 Kumar, B. Rushi (ed.) et al., Applied mathematics and scientific computing. International conference on advances in mathematical sciences, ICAMS, Vellore, India, December 1–3, 2017. Volume II. Selected papers. Cham: Birkhäuser. Trends Math., 255-263 (2019). Reviewer: Ioan Pop (Cluj-Napoca) MSC: 76R10 76T20 76S05 80A19 PDF BibTeX XML Cite \textit{P. G. Siddheshwar} and \textit{K. M. Lakshmi}, in: Applied mathematics and scientific computing. International conference on advances in mathematical sciences, ICAMS, Vellore, India, December 1--3, 2017. Volume II. Selected papers. Cham: Birkhäuser. 255--263 (2019; Zbl 1460.76736) Full Text: DOI OpenURL
Yadav, P. K.; Singh, P.; Tiwari, A.; Deo, S. Stokes flow through a membrane built up by nonhomogeneous porous cylindrical particles. (English. Russian original) Zbl 1443.76225 J. Appl. Mech. Tech. Phys. 60, No. 5, 816-826 (2019); translation from Prikl. Mekh. Tekh. Fiz. 60, No. 5, 41-52 (2019). MSC: 76S05 76D07 PDF BibTeX XML Cite \textit{P. K. Yadav} et al., J. Appl. Mech. Tech. Phys. 60, No. 5, 816--826 (2019; Zbl 1443.76225); translation from Prikl. Mekh. Tekh. Fiz. 60, No. 5, 41--52 (2019) Full Text: DOI OpenURL
Titi, Edriss S.; Trabelsi, Saber Global well-posedness of a 3D MHD model in porous media. (English) Zbl 1431.76155 J. Geom. Mech. 11, No. 4, 621-637 (2019). MSC: 76W05 76S05 35Q30 35Q35 76B03 93C10 93C20 76B75 PDF BibTeX XML Cite \textit{E. S. Titi} and \textit{S. Trabelsi}, J. Geom. Mech. 11, No. 4, 621--637 (2019; Zbl 1431.76155) Full Text: DOI arXiv OpenURL
Nandal, Reena; Mahajan, Amit Nonlinear stability analysis of a fluid saturated anisotropic Darcy-Brinkman medium with internal heat source. (English) Zbl 1429.76102 Appl. Math. Comput. 358, 216-231 (2019). MSC: 76S05 76E30 80A19 PDF BibTeX XML Cite \textit{R. Nandal} and \textit{A. Mahajan}, Appl. Math. Comput. 358, 216--231 (2019; Zbl 1429.76102) Full Text: DOI OpenURL
Lu, Min-Jhe; Liu, Chun; Li, Shuwang Nonlinear simulation of an elastic tumor-host interface. (English) Zbl 1425.92115 Comput. Math. Biophys. 7, No. 1, 25-47 (2019). MSC: 92C50 35Q92 PDF BibTeX XML Cite \textit{M.-J. Lu} et al., Comput. Math. Biophys. 7, No. 1, 25--47 (2019; Zbl 1425.92115) Full Text: DOI arXiv OpenURL
Qin, Yi; Hou, Yanren The time filter for the non-stationary coupled Stokes/Darcy model. (English) Zbl 1448.76064 Appl. Numer. Math. 146, 260-275 (2019). MSC: 76D05 76S05 76M99 PDF BibTeX XML Cite \textit{Y. Qin} and \textit{Y. Hou}, Appl. Numer. Math. 146, 260--275 (2019; Zbl 1448.76064) Full Text: DOI OpenURL
Aghili, Joubine; Brenner, Konstantin; Hennicker, Julian; Masson, Roland; Trenty, Laurent Two-phase discrete fracture matrix models with linear and nonlinear transmission conditions. (English) Zbl 1419.76448 GEM. Int. J. Geomath. 10, No. 1, Paper No. 1, 35 p. (2019). MSC: 76M12 65M08 65N08 76S05 PDF BibTeX XML Cite \textit{J. Aghili} et al., GEM. Int. J. Geomath. 10, Paper No. 1, 35 p. (2019; Zbl 1419.76448) Full Text: DOI HAL OpenURL
Dine, Houssein Nasser El; Saad, Mazen; Talhouk, Raafat Existence results for a monophasic compressible Darcy-Brinkman’s flow in porous media. (English) Zbl 1426.35187 J. Elliptic Parabol. Equ. 5, No. 1, 125-147 (2019). MSC: 35Q35 35A01 35A02 35D30 76S05 35G25 35G40 PDF BibTeX XML Cite \textit{H. N. E. Dine} et al., J. Elliptic Parabol. Equ. 5, No. 1, 125--147 (2019; Zbl 1426.35187) Full Text: DOI OpenURL
Jia, Xiaofeng; Li, Jichun; Jia, Hongen Decoupled characteristic stabilized finite element method for time-dependent Navier-Stokes/Darcy model. (English) Zbl 1419.65064 Numer. Methods Partial Differ. Equations 35, No. 1, 267-294 (2019). MSC: 65M60 65M25 35Q35 76D05 76S05 65M15 PDF BibTeX XML Cite \textit{X. Jia} et al., Numer. Methods Partial Differ. Equations 35, No. 1, 267--294 (2019; Zbl 1419.65064) Full Text: DOI OpenURL
Kou, Jisheng; Sun, Shuyu; Wu, Yuanqing A semi-analytic porosity evolution scheme for simulating wormhole propagation with the Darcy-Brinkman-Forchheimer model. (English) Zbl 1404.65175 J. Comput. Appl. Math. 348, 401-420 (2019). MSC: 65M60 65M12 65M15 PDF BibTeX XML Cite \textit{J. Kou} et al., J. Comput. Appl. Math. 348, 401--420 (2019; Zbl 1404.65175) Full Text: DOI Link OpenURL
Brun, Mats Kirkesæther; Ahmed, Elyes; Nordbotten, Jan Martin; Radu, Florin Adrian Well-posedness of the fully coupled quasi-static thermo-poroelastic equations with nonlinear convective transport. (English) Zbl 1457.74055 J. Math. Anal. Appl. 471, No. 1-2, 239-266 (2019). MSC: 74F10 74F05 76S05 76R10 35Q74 35Q35 80A19 PDF BibTeX XML Cite \textit{M. K. Brun} et al., J. Math. Anal. Appl. 471, No. 1--2, 239--266 (2019; Zbl 1457.74055) Full Text: DOI arXiv OpenURL
Ngondiep, Eric Stability analysis of maccormack rapid solver method for evolutionary Stokes-Darcy problem. (English) Zbl 1397.76074 J. Comput. Appl. Math. 345, 269-285 (2019). MSC: 76M10 76M20 65N15 65N30 76D07 76S05 PDF BibTeX XML Cite \textit{E. Ngondiep}, J. Comput. Appl. Math. 345, 269--285 (2019; Zbl 1397.76074) Full Text: DOI OpenURL
Ngondiep, Eric Long time stability and convergence rate of MacCormack rapid solver method for nonstationary Stokes-Darcy problem. (English) Zbl 1419.65026 Comput. Math. Appl. 75, No. 10, 3663-3684 (2018). MSC: 65M06 65M12 76S05 76D07 PDF BibTeX XML Cite \textit{E. Ngondiep}, Comput. Math. Appl. 75, No. 10, 3663--3684 (2018; Zbl 1419.65026) Full Text: DOI OpenURL
Angot, Philippe Well-posed Stokes/Brinkman and Stokes/Darcy coupling revisited with new jump interface conditions. (English) Zbl 1414.35161 ESAIM, Math. Model. Numer. Anal. 52, No. 5, 1875-1911 (2018). MSC: 35Q35 35Q30 65M85 76D03 76D05 76D07 76S05 PDF BibTeX XML Cite \textit{P. Angot}, ESAIM, Math. Model. Numer. Anal. 52, No. 5, 1875--1911 (2018; Zbl 1414.35161) Full Text: DOI HAL OpenURL
Yadav, Shyam Lal; Singh, A. K. Transient flow in a circular cylinder filled with porous material. (English) Zbl 1448.76167 Int. J. Appl. Comput. Math. 4, No. 6, Paper No. 145, 13 p. (2018). MSC: 76S05 PDF BibTeX XML Cite \textit{S. L. Yadav} and \textit{A. K. Singh}, Int. J. Appl. Comput. Math. 4, No. 6, Paper No. 145, 13 p. (2018; Zbl 1448.76167) Full Text: DOI OpenURL
Jha, Basant K.; Suleiman, Abbas; Kaurangini, Muhammad L. Steady fully developed non-Darcian mixed convection flow in an annulus partially filled with porous material. (English) Zbl 1413.76043 Afr. Mat. 29, No. 5-6, 761-773 (2018). MSC: 76S05 PDF BibTeX XML Cite \textit{B. K. Jha} et al., Afr. Mat. 29, No. 5--6, 761--773 (2018; Zbl 1413.76043) Full Text: DOI OpenURL
Bastide, Alain; Cocquet, Pierre-Henri; Ramalingom, Delphine Penalization model for Navier-Stokes-Darcy equations with application to porosity-oriented topology optimization. (English) Zbl 1401.35234 Math. Models Methods Appl. Sci. 28, No. 8, 1481-1512 (2018). MSC: 35Q30 76S05 49J20 76D55 PDF BibTeX XML Cite \textit{A. Bastide} et al., Math. Models Methods Appl. Sci. 28, No. 8, 1481--1512 (2018; Zbl 1401.35234) Full Text: DOI OpenURL
Beneš, Michal; Pažanin, Igor Rigorous derivation of the effective model describing a non-isothermal fluid flow in a vertical pipe filled with porous medium. (English) Zbl 1392.76073 Contin. Mech. Thermodyn. 30, No. 2, 301-317 (2018). MSC: 76S05 76M45 PDF BibTeX XML Cite \textit{M. Beneš} and \textit{I. Pažanin}, Contin. Mech. Thermodyn. 30, No. 2, 301--317 (2018; Zbl 1392.76073) Full Text: DOI OpenURL
Sun, Ming; Rui, Hongxing A two-grid stabilized mixed finite element method for Darcy-Forchheimer model. (English) Zbl 1388.76152 Numer. Methods Partial Differ. Equations 34, No. 2, 686-704 (2018). MSC: 76M10 65N30 65N12 65N15 76S05 PDF BibTeX XML Cite \textit{M. Sun} and \textit{H. Rui}, Numer. Methods Partial Differ. Equations 34, No. 2, 686--704 (2018; Zbl 1388.76152) Full Text: DOI OpenURL
Itkina, Natalia Borisovna; Trofimova, Svetlana Alekseevna Application of mixed non-conforming variational formulations for solving the Darcy problem. (Russian. English summary) Zbl 1387.76053 Vychisl. Tekhnol. 23, No. 1, 46-60 (2018). MSC: 76M10 76S05 PDF BibTeX XML Cite \textit{N. B. Itkina} and \textit{S. A. Trofimova}, Vychisl. Tekhnol. 23, No. 1, 46--60 (2018; Zbl 1387.76053) Full Text: Link OpenURL
Liu, Wei; Cui, Jintao A two-grid block-centered finite difference algorithm for nonlinear compressible Darcy-Forchheimer model in porous media. (English) Zbl 1384.76040 J. Sci. Comput. 74, No. 3, 1786-1815 (2018). MSC: 76M20 76S05 65M12 65M15 65M06 PDF BibTeX XML Cite \textit{W. Liu} and \textit{J. Cui}, J. Sci. Comput. 74, No. 3, 1786--1815 (2018; Zbl 1384.76040) Full Text: DOI OpenURL
Calvetti, Daniela; Dunlop, Matthew; Somersalo, Erkki; Stuart, Andrew Iterative updating of model error for Bayesian inversion. (English) Zbl 1386.65056 Inverse Probl. 34, No. 2, Article ID 025008, 38 p. (2018). Reviewer: Rózsa Horváth-Bokor (Budakalász) MSC: 65C60 62F15 78A46 92C55 78-05 76-05 PDF BibTeX XML Cite \textit{D. Calvetti} et al., Inverse Probl. 34, No. 2, Article ID 025008, 38 p. (2018; Zbl 1386.65056) Full Text: DOI arXiv Link OpenURL
Huang, Jian; Chen, Long; Rui, Hongxing Multigrid methods for a mixed finite element method of the Darcy-Forchheimer model. (English) Zbl 1404.65267 J. Sci. Comput. 74, No. 1, 396-411 (2018). MSC: 65N30 65N55 76S05 65N06 35Q35 PDF BibTeX XML Cite \textit{J. Huang} et al., J. Sci. Comput. 74, No. 1, 396--411 (2018; Zbl 1404.65267) Full Text: DOI arXiv OpenURL
Brenner, Konstantin; Hennicker, Julian; Masson, Roland; Samier, Pierre Hybrid-dimensional modelling of two-phase flow through fractured porous media with enhanced matrix fracture transmission conditions. (English) Zbl 1381.76335 J. Comput. Phys. 357, 100-124 (2018). MSC: 76S05 76M12 65M50 PDF BibTeX XML Cite \textit{K. Brenner} et al., J. Comput. Phys. 357, 100--124 (2018; Zbl 1381.76335) Full Text: DOI HAL OpenURL